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Published byFrank Higgins Modified over 9 years ago
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An archer stands 100 feet away from a target and aims for the bull’s eye that rests 30 feet above the archer’s eye level. How far does the arrow have to travel from the archer’s box to the bull’s eye? What angle of elevation does the archer need to use to hit the target?
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Right Triangles Day 11 – Law of Sines
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Today’s Objective To use the Law of Sines to find measurements in triangles.
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Need Help? This is not in your book! Try Khanacademy.org Homework: Worksheet – Using Law of Sines
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Trigonometry in Non-Right Triangles A B C a b c There are no right angles in ΔABC Draw an altitude from B h Solve for h Set equations equal to each other Divide both sides by ac Simplify Trigonometry for all types of triangles!
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Law of Sines Law of Sines can be used to find the missing parts of triangles that are not right. A B C a b c Angles: A, B, C Sides: a, b, c *Notice the corresponding sides & angles OR **Law of Sines is also called: Sine Formula Sine Law Sine Rule
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Solve for x. 14 16 80 o x A a B b
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Solve for x. 20 50 o x 85 o
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Solve the Triangle (Find all of the angles and sides) Figure not drawn to scale X Y Z 98 o 20 14 ANGLES Which side/angle combo do we have to use?
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Solve the Triangle (Find all of the angles and sides) Figure not drawn to scale X Y Z 98 o 20 14 SIDES Which side/angle combo do we have to use? 44 o 38 o
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Solving the following: A pilot is flying over a straight highway. He determined the angles of depression between himself and mileposts A and be to be 32 o and 48 o. The mileposts are 5 mi apart. Find the distance from the plane to mile marker A. What other angle measures can be found? What are we trying to find? How can we solve for x? 32 o 48 o 5 mi A B 100 o 48 o x 32 o
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Solving the following: A pilot is flying over a straight highway. He determined the angles of depression between himself and mileposts A and be to be 32 o and 48 o. The mileposts are 5 mi apart. Find the elevation of the plane. What are we trying to find? How can we solve for x? 32 o 48 o 5 mi A B 100 o 48 o 3.77 mi 32 o x
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Did you meet today’s objective? When is it appropriate to use Law of Sines?
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